Journal Article10.1016/J.IJMECSCI.2019.01.012
Symplectic superposition method-based new analytic bending solutions of cylindrical shell panels
40
TL;DR: In this paper, the authors extended the up-to-date symplectic superposition method to bending of cylindrical panels, with focus on clamped panels and their variants, by introducing the problems into the Hamiltonian system (in physics) and the symplectic space (in mathematics).
read more
About: This article is published in International Journal of Mechanical Sciences. The article was published on 01 Mar 2019. The article focuses on the topics: Symplectic geometry & Boundary value problem.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
Analytical solutions for nonlinear magneto-electro-elastic vibration of smart sandwich plate with carbon nanotube reinforced nanocomposite core in hygrothermal environment
TL;DR: In this paper, the authors presented an analytical approach on the nonlinear magneto-electro-elastic vibration of smart sandwich plate, which consists of a carbon nanotube reinforced nanocomposite (CNTRC) core integrated with two magnetoelectroelastic face sheets.
109
New analytic buckling solutions of side-cracked rectangular thin plates by the symplectic superposition method
TL;DR: In this article, a side-cracked rectangular thin plate is decomposed into several sub-plates that are analytically solved by the superposition method, where the symplectic eigenvalue problems are formulated, followed by the manifold expansion.
39
Hamiltonian system-based new analytic free vibration solutions of cylindrical shell panels
TL;DR: In this paper, the Hamiltonian system-based symplectic superposition method was used to solve the non-Levy-type cylindrical shell panels. But the main advantage of the developed approach is that no pre-determination of solution forms is needed, which enables one to pursue more analytic solutions of intractable shell problems.
36
On new buckling solutions of moderately thick rectangular plates by the symplectic superposition method within the Hamiltonian-system framework
TL;DR: In this paper, the authors explore the symplectic superposition method for analytic buckling solutions of non-Levy-type moderately thick rectangular plates, which were hard to tackle by classical semi-inverse methods.
27
Multi-objective optimal structural design of composite superstructure using a novel MONMPSO algorithm
TL;DR: The results show that the proposed MONMPSO algorithm has a better performance in comparison to the NSGA-II algorithm in extracting the Pareto front pattern.
22
References
•Book
Theory of plates and shells
Stephen P. Timoshenko,Sergius Woinowsky-Krieger +1 more
- 01 Jan 1959
TL;DR: In this article, the authors describe the bending of long RECTANGULAR PLATES to a cycloidal surface, and the resulting deformation of shels without bending the plates.
•Book
Buckling of Bars, Plates and Shells
Don O. Brush,Bo O. Almroth,John W. Hutchinson +2 more
- 01 Jan 1975
1.7K
Symplectic Elasticity: Theory and Applications
C.W. Lim,Xinsheng Xu +1 more
TL;DR: Symplectic elasticity as discussed by the authors is a new concept and solution methodology in elasticity and applied mechanics based on the Hamiltonian principle with Legendre's transformation, which can be found in many numerical and analytical works.
Analysis of laminated doubly-curved shells by a layerwise theory and radial basis functions collocation, accounting for through-the-thickness deformations
TL;DR: In this paper, the static and free vibration analysis of laminated shells is performed by radial basis functions (RBFs) collocation, according to a layerwise deformation theory (LW).
95
Analytic bending solutions of free rectangular thin plates resting on elastic foundations by a new symplectic superposition method
Rui Li,Yang Zhong,Ming Li +2 more
TL;DR: In this paper, the Winkler model was used to obtain analytic bending solutions of free rectangular thin plates resting on elastic foundations, based on a new symplectic superposition method, which was able to solve the problem analytically.
89